Chapter 3: Q.35. (page 79)

I A pine cone falls straight down from a pine tree growing on a $20^{°}$ slope. The pine cone hits the ground with a speed of $10 m / s$ . What is the component of the pine cone's impact velocity (a) parallel to the ground and (b) perpendicular to the ground?

Short Answer

Expert verified

$v_{x}$ is the horizontal component of the velocity, and is the vertical component of the velocity.

a. the horizontal component of the velocity of pine-cone is $- 3.4 m / s$ .

b. the vertical component of the velocity of pine-cone is $- 9.4 m / s$ .

Step by step solution

Step.1.

The vector-diagram for the motion of the pine-cone is shown in the below figure.

Here, $v_{x}$ is the horizontal component of the velocity, and $v_{y}$ is the vertical component of the velocity.

Part(a)

The horizontal component of the velocity is,

${\vec{v}}_{x} = - v \sin θ$

Substitute $10 m / s$ for $v$ and $20^{°}$ for $θ$ .

$\begin{array}{l} {\vec{v}}_{x} = - (10 m / s) \sin 20^{°} \\ = - 3.4 m / s \end{array}$

Therefore, the horizontal component of the velocity of pine-cone is $- 3.4 m / s$ .

Part.b.

The vertical component of the velocity is,

${\vec{v}}_{y} = - v \cos θ$

Substitute $10 m / s$ for $v$ and $20^{°}$ for $θ$ .

$\begin{array}{l} {\vec{v}}_{x} = - (10 m / s) \cos 20^{°} \\ = - 9.4 m / s \end{array}$

Therefore, the vertical component of the velocity of pine-cone is $- 9.4 m / s$ .

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I A pine cone falls straight down from a pine tree growing on a $20^{°}$ slope. The pine cone hits the ground with a speed of $10 m / s$ . What is the component of the pine cone's impact velocity (a) parallel to the ground and (b) perpendicular to the ground?

Short Answer

Step by step solution

Step.1.

Part(a)

Part.b.

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I A pine cone falls straight down from a pine tree growing on a20° slope. The pine cone hits the ground with a speed of 10m/s. What is the component of the pine cone's impact velocity (a) parallel to the ground and (b) perpendicular to the ground?

Short Answer

Step by step solution

Step.1.

Part(a)

Part.b.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Electricity

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Study anywhere. Anytime. Across all devices.

I A pine cone falls straight down from a pine tree growing on a $20^{°}$ slope. The pine cone hits the ground with a speed of $10 m / s$ . What is the component of the pine cone's impact velocity (a) parallel to the ground and (b) perpendicular to the ground?